Pith Number

pith:TPY5XJOV

pith:2012:TPY5XJOVP5S3WRJNIP45NOOIRE

not attested not anchored not stored refs pending

Extremal Multicenter Black Holes: Nilpotent Orbits and Tits Satake Universality Classes

Alexander S. Sorin, Pietro Fre

arxiv:1205.1233 v2 · 2012-05-06 · hep-th · gr-qc · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPY5XJOVP5S3WRJNIP45NOOIRE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:57:37.600489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bf1dba5d57f65bb452d43f9d6b9c8892304423b810f33f40b67a77772a25318

Aliases

arxiv: 1205.1233 · arxiv_version: 1205.1233v2 · doi: 10.48550/arxiv.1205.1233 · pith_short_12: TPY5XJOVP5S3 · pith_short_16: TPY5XJOVP5S3WRJN · pith_short_8: TPY5XJOV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TPY5XJOVP5S3WRJNIP45NOOIRE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9bf1dba5d57f65bb452d43f9d6b9c8892304423b810f33f40b67a77772a25318

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94ba9e18f9370df93be4d89ccf3c9d714c77cd0c3af00dd137413565eb59c36c",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-05-06T17:11:19Z",
    "title_canon_sha256": "bd752773ae107a41bf5ac2e081d50bc15ca955cb0907c58785951168301c3d3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1233",
    "kind": "arxiv",
    "version": 2
  }
}